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Finding the Fourth Proportional to 22,256.92, 33,384.48 and 8,210.86

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Solution

The fourth proportional to 22,256.92, 33,384.48 and 8,210.86 is: 12,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.92 : 33,384.48 = 8,210.86 : x
  2. Step 2: Convert to fraction form
    22,256.92/33,384.48 = 8,210.86/x
  3. Step 3: Cross multiply
    22,256.92x = 33,384.48 × 8,210.86
  4. Step 4: Simplify right side
    22,256.92x = 274,115,291.45
  5. Step 5: Solve for x
    x = 274,115,291.45/22,256.92
  6. Step 6: Final answer
    x = 12,315.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.